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enyata [817]
3 years ago
11

If the perpendicular bisector of one side of a triangle goes through the opposite vertex, then is the triangle ( sometimes, alwa

ys, or never) isosceles
Mathematics
1 answer:
avanturin [10]3 years ago
7 0
It is always isosceles because it can be proved as follows:

The perpendicular bisector dissects the triangle into two, and it is the common side.  Then each side of the bisector is 90 degrees, and the bisected to two equal sides, so the two dissected triangles are congruent, hence the original triangle is isosceles.
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What statement is valid….
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Discuss the relevance of fairy tales in society today and the aspects that it teaches us about our world. Why do we enjoy fairy tales and repeat these stories over time? How do fairy tales open our eyes to other cultures? What does it mean to live happily ever after? Discuss why tricksters often highlight flaws in the gods. If tricksters threaten order, authority, and hierarchy, then why do you think they appear in various stories? What are the similarities and differences in intelligence between the gods and tricksters? Discuss the ways in which tricksters mediate between the gods and men. Why do you think tricksters take the side of humans? What do the trickster stories say about cunning? Can intelligence be both evil and good?

3 0
2 years ago
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ludmilkaskok [199]

The total money spent for the Dinner and Dessert is $22 so to figure out how much was spent on the taxi ride you're going to want to subtract $22 from $31 (31 = x + 22) or (31 - 22 = x).

6 0
3 years ago
Gils aunt cut his birthday cake into 33 equal pieces eighteen pieces were eaten at his birthday part what fraction of the cake w
kozerog [31]

Answer:

15/33

Step-by-step explanation:

total pieces=33

Pieces eaten=18

Left=33-18

=15

Fraction=15/33

7 0
3 years ago
The question is in the photo
vovikov84 [41]

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6 0
3 years ago
The local library had a sale to get rid of the books that were slightly damaged it’s on paper back books for two dollars and har
kondor19780726 [428]

Answer:

The Local Library sold <u>31</u> hardcover books.

Step-by-step explanation:

Let number of paper back books be 'x'.

Let number of hardcover books be 'y'.

Given:

Total number of books sold = 89

Now Total number of books sold is equal to sum of number of paper back books and number of hardcover books.

framing in equation form we get;

x+y=89 \ \ \ \ \ equation \ 1

Now Given:

Cost of each paper back books = $2

Cost of each hardcover books = $5

Total Amount raised by library = $271

Now We know that Total Amount raised by library is equal to Cost of each paper back books multiplied by number of paper back books plus Cost of each hardcover books multiplied number of hardcover books.

framing in equation form we get;

2x+5y=271 \ \ \ \ equation \ 2

Now Multiplying equation 1 by 2 we get;

2(x+y)=89\times2\\\\2x+2y = 178 \ \ \ \ equation \ 3

Now Subtracting equation 3 from equation 2 we get;

(2x+5y)-(2x+2y)=271-178\\\\2x+5y-2x-2y=93\\\\3y = 93\\\\y=\frac{93}{3}=31

Substituting the value of y in equation 1 we get;

x+y =89\\\\x+31=89\\\\x =89-31 = 58

Hence The Local Library sold 58 paper back books and <u>31</u> hardcover books.

8 0
2 years ago
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